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Finding the Third Proportional to 931.92 and 2,124.98

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Solution

The third proportional to 931.92 and 2,124.98 is: 4,845.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.92 : 2,124.98 = 2,124.98 : x
  2. Step 2: Convert to fraction form
    931.92/2,124.98 = 2,124.98/x
  3. Step 3: Cross multiply
    931.92x = 2,124.98 × 2,124.98
  4. Step 4: Simplify right side
    931.92x = 4,515,558.59
  5. Step 5: Solve for x
    x = 4,515,558.59/931.92
  6. Step 6: Final answer
    x = 4,845.43

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.